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3 years ago

Find the value of x, the slant height of the regular pyramid. Round your answer to the nearest hundredth, if necessary.

Mathematics

1 answer:

hichkok12 [17]3 years ago

3 0

I believe the answer to be D. 13.5 ft.

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Find the sum or difference 1/2 - 1/14 A.3/7 B.2/7 C.4/7

pogonyaev

Answer:

A.3/7

Step-by-step explanation:

1/2 - 1/14

We need to get a common denominator of 14

1/2 * 7/7 = 7/14

7/14 - 1/14 = 6/14

We can simplify by dividing the top and bottom by 2

3/7

7 0

3 years ago

At a coffee sale held one day in 2004 ,the average price of 50 kg bag of coffee was sh 2422.90 . What was the cost of 1 kg of co

gregori [183]

Answer: $ 48.46

Step-by-step explanation:

If the price of 50 Kg of coffee was 2422.99, what is the cost of 1 Kg of coffee?

50/1 = 2422.90/x (cross multiplication)

48.46

4 0

2 years ago

Write an equation in slope-intercept form (y = mx + b).

Wewaii [24]

Answer:

y = 2/7x + 7

Step-by-step explanation:

We start off by putting the original equation into slope-intercept form. Subtract 7x from both sides, then divide both sides by -2. Your new equation should be y = -7/2x - 8. It's important to know that when two lines are perpendicular, their slopes (m) are opposite reciprocals of each other. So -7/2 becomes 2/7. The first part of your final equation is y = 2/7x + b.

Next, we need to find the y intercept (b). You need to plug the x and y values from the given coordinate point (-7,5) into your final equation. You should end up with: 5 = 2/7(-7) + b. Then, solve for b.

5 = -14/7 + b

5 = -2 + b

7 = b

Finally, plug the b value into your final equation and you will have your answer.

4 0

3 years ago

WILL MARK BRAINLIEST!!! 40 POINTS!! ACTUAL ANSWERS, PLZZZ

steposvetlana [31]

Answer:

Part A:

$\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807$

Part B:

The closure property describes cases when mathematical operations are CLOSED. It means that if you apply certain mathematical operations in a polynomial it will still be a polynomial. Polynomials are closed for sum, subtraction, and multiplication.

It means:

$\text{Sum of polynomials } \Rightarrow \text{ It will always be a polynomial}$

$\text{Subtraction of polynomials } \Rightarrow \text{ It will always be a polynomial}$

$\text{Multiplication of polynomials } \Rightarrow \text{ It will always be a polynomial}$

But when it is about division:

$\text{Division of polynomials } \Rightarrow \text{ It will not always/sometimes be a polynomial}$

Example of subtraction of polynomials:

$(2x^2+2x+3) - (x^2+5x+2)$

$x^2-3x+1$

Step-by-step explanation:

First, it is very important to define what is a polynomial in standard form:

It is when the terms are ordered from the highest degree to the lowest degree.

Therefore I can give:

$x^5-5x^4+3x^3-3x^2+7x+20$

but,

$x^5+3x^3-3x^2+7x+20-5x^4$ is not in standard form.

For this question, I can simply give the answer: $x^5-5x^4+3x^3-3x^2+7x+20$ and it is correct.

But I will create a fifth-degree polynomial using this formula

$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$

Also, note that

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

For $a=x \text{ and } b=7$

$\left(x + 7\right)^{5}=\sum_{k=0}^{5} \binom{5}{k} \left(x\right)^{5-k} \left(7\right)^k$

$\text{Solving for } k \text{ values: } 0, 1, 2, 3, 4 \text{ and } 5$

Sorry but I will not type every step for each value of $k$

The first one is enough.

For $k=0$

$\binom{5}{0} \left(x\right)^{5-0} \left(7\right)^{0}=\frac{5!}{(5-0)! 0!}\left(x\right)^{5} \left(7\right)^{0}=\frac{5!}{5!} \cdot x^5= x^{5}$

Doing that for $k$ values:

$\left(x + 7\right)^{5}=x^{5} + 35 x^{4} + 490 x^{3} + 3430 x^{2} + 12005 x + 16807$

8 0

2 years ago

Given the system of inequalities:

Crazy boy [7]

Answer:

$4x-5y$ slope intercept form is option 3 - $y>\frac{4x}{5}-\frac{1}{5}$

$\frac{1}{2}y-x$ slope intercept form is option 4 - $y$

Step-by-step explanation:

Given : The system of inequalities $4x-5y$ and $\frac{1}{2}y-x$

To find : Which shows the given inequalities in slope-intercept form?

Solution :

The slope intercept form is $y=mx+b$ where m is the slope and b is y-intercept.

First inequality is $4x-5y$

Now we take y to one side by subtracting 4x both side,

$-5y$

Divide both side by 5,

$-y$

Multiply both side by -1,

$y>-\frac{1-4x}{5}$

$y>\frac{4x-1}{5}$

$y>\frac{4x}{5}-\frac{1}{5}$

So, Option 3 is correct.

Second inequality is $\frac{1}{2}y-x$

Now we take y to one side by adding x both side,

$\frac{1}{2}y$

Multiply both side by 2,

$y$

So, Option 4 is correct.

3 0

3 years ago

Read 2 more answers